Mathematics:

  • Research on Superparticular Decompositions and Musical Graphs (Ongoing):
    • In this stud, Dr. Peyman Nasehpour, Nadia Ghobadipasha, and I  examine superparticular ratios with number theoretic aspects and then we use those number theoretic results to analyze some of the so-called musical graphs.
  • Research on Modular Functions Over Pre-Semirings (March 2016):
    • I studied various types of algebraic structures such as pre-semirings, max-plus algebras, tropical algebras with Dr. Peyman Nasehpour. Then, we defined finitely additive, modular, and probability functions on these structures. The results of this study can be found on arXiv.
  • Moderating AoPS Fora (2010 – Present):
    • I was a global moderator at AoPS (2010 – 2014). I am now in charge of the olympiad community moderation at AoPS, starting 2010.
  • Resource Manager at AoPS (2010 – 2014)
    • I was the chief manager of AoPS Olympiad Resources. On 2012, I collected problems of almost all mathematical Olympiad competitions around the world from 1959 to 2012 and published them here.
  • Translating and Publishing Iran Olympiad Problems (January 2011):
    • I translated and posted problems of Iranian Mathematical Olympiad from 1983 to 2010 to AoPS fora. The problems can be found here.
  • Manager of ISL–ILL Project (September 2010):
    • I posted (and partially solved) problems of Short-List and Long-List of International Mathemetical Olympiad (ISL and ILL, respectively) along with my friends Orlando Doehring, Andrew Kirk, Goutham Richlair, and Sameer Seraj. The details of this huge project (containing over 1000 problems) might be found here.

 

Electrical Engineering and Control:

  • Mechatronics (May 2016).
    • Magnetic Sensors. A presentation about various types of magnetic sensors and their applications. [Slides]
  • Industrial Control (December 2015):
    • The SMA Finger. Design and Implementation of a circuit for feeding the voltage of an artificial finger created using Shape-Memory Alloy (SMA) technology.
  • Instrumentation (October 2015):
    • Electromagnetic Flowmeters with Self-Cleaning Electrodes A brief review of flowmeters and several methods such as electric or magnetic excitation through which the electrodes of a flowmeter can be cleaned automatically to avoid inaccuracy in measurement. [Slides]
  • Power System Analysis I (November 2015):
    • Simulation of a Power System. Using the software Power World, I simulated a power system containing several given generators and loads. [Files]
  • Linear Control Systems (January 2015):
    • Modeling and Simulating Human’s Body Skeletal
      Structure. In this project, I modeled the skeletal structure of human using an inverted pendulum with two degrees of freedom.